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Unit 2 : Lesson 1: Solving Equations and Ratios Using Distributive property, Additive Inverse…

Unit 2 : Lesson 1: Solving Equations and Ratios Using Distributive property, Additive Inverse…

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Page 1: Unit 2 : Lesson 1: Solving Equations and Ratios Using Distributive property, Additive Inverse…

Unit 2 : Lesson 1: Solving Equations and RatiosUsing Distributive property, Additive Inverse…

Page 2: Unit 2 : Lesson 1: Solving Equations and Ratios Using Distributive property, Additive Inverse…

Solve each equation for x

›3x = 21

›3(x – 4) = 21

Page 3: Unit 2 : Lesson 1: Solving Equations and Ratios Using Distributive property, Additive Inverse…

Now about this one?

3(x-4) + 6x = 21

Page 4: Unit 2 : Lesson 1: Solving Equations and Ratios Using Distributive property, Additive Inverse…

1. 3(x – 4) = 4x + 8

2. -8 = -(X + 4)

Page 5: Unit 2 : Lesson 1: Solving Equations and Ratios Using Distributive property, Additive Inverse…

2(4x - 3) – 8 = 4 + 2x

Make sure you distribute first then combine like terms on the same side of the equal side.

Page 6: Unit 2 : Lesson 1: Solving Equations and Ratios Using Distributive property, Additive Inverse…

Now try these:

› Explain two different ways you could use to solve:

› A) 20 = 5(-3 + x)

› B) 5x + 43 = -2(1 – 7x)

› C) 4(x – 2) -12 = 3x + 9

A

• Way 1• Way 2

B

• Way 1• Way 2

C• Anyway:

Page 7: Unit 2 : Lesson 1: Solving Equations and Ratios Using Distributive property, Additive Inverse…

How about those Ratios?

Let’s try few:

A) = 8

B) 3 = y + 1

Page 8: Unit 2 : Lesson 1: Solving Equations and Ratios Using Distributive property, Additive Inverse…

Equations and converting units.

›A school is building a rectangular soccer field that has a perimeter of 210 yards. The soccer field must be 40 yards longer than its width. Determine algebraically the dimensions of the soccer field, in yards first then inches.

Page 9: Unit 2 : Lesson 1: Solving Equations and Ratios Using Distributive property, Additive Inverse…

PLEASE TRY THE HOMEWORK.

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